413892 has 18 divisors (see below), whose sum is σ = 1046318. Its totient is φ = 137952.

The previous prime is 413887. The next prime is 413911. The reversal of 413892 is 298314.

It can be written as a sum of positive squares in only one way, i.e., 367236 + 46656 = 606^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

413892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5713 + ... + 5784.

2⁴¹³⁸⁹² is an apocalyptic number.

It is an amenable number.

413892 is an abundant number, since it is smaller than the sum of its proper divisors (632426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413892 is a wasteful number, since it uses less digits than its factorization.

413892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11507 (or 11502 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 413892 is about 643.3443867790. The cubic root of 413892 is about 74.5239176693.

Subtracting from 413892 its product of digits (1728), we obtain a square (412164 = 642²).

The spelling of 413892 in words is "four hundred thirteen thousand, eight hundred ninety-two".